The Michigan Mathematical Journal

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Since xi(ff ) = Z2 we have //1(W;Z2) = Z2 so W has exactly two spin structures, and
the diagram //1(RP^-1jZ, ) :/ , : ?alt;: //1(ff; Z2) ar//1Al?; Z2) shows that /* is onto. Thus
each spin structure on Q is the restriction of some spin structure on W. Theanbsp;...

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The Michigan Mathematical Journal

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- 1983

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